Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems.
| Autor: | Dolejší, Vít, 1971- |
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| Další autoři: |
Feistauer, Miloslav, 1943-
Koubová, Alice, 1974-
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| Jazyk: | angličtina |
| Předmět: |
matematika
mathematics články journal articles nonlinear convection-diffusion problem compressible Navier-Stokes equations cascade flow barycentric finite volumes Crouzeix-Raviart nonconforming piecewise linear finite elements monotone finite volume scheme discrete maximum principle a priori estimates error estimates |
| Druh dokumentu: | Non-fiction |
| ISSN: | 0862-7940 |
| Abstrakt: | Abstract: The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the $L^2(L^2)$ and $L^2(H^1)$ error estimates are established. At the end of the paper, some computational results are presented demonstrating the application of the method to the solution of viscous gas flow. |
| Databáze: | Katalog Knihovny AV ČR |
| Externí odkaz: |
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